101013312033047 has 2 divisors, whose sum is σ = 101013312033048. Its totient is φ = 101013312033046.

The previous prime is 101013312032989. The next prime is 101013312033091. The reversal of 101013312033047 is 740330213310101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101013312033047 - 2²⁰ = 101013310984471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101013312063047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506656016523 + 50506656016524.

It is an arithmetic number, because the mean of its divisors is an integer number (50506656016524).

Almost surely, 2^{101013312033047} is an apocalyptic number.

101013312033047 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013312033047 is an equidigital number, since it uses as much as digits as its factorization.

101013312033047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 101013312033047 its reverse (740330213310101), we get a palindrome (841343525343148).

The spelling of 101013312033047 in words is "one hundred one trillion, thirteen billion, three hundred twelve million, thirty-three thousand, forty-seven".